This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A320998 #24 Feb 08 2024 08:47:38 %S A320998 1,12,44,142,399,1044,2571,6168,14357,32786,73746,163872,360462, %T A320998 786468,1703949,3670040,7864353,16777260,35651579,75497508,159383591, %U A320998 335544350,704643087,1476395064,3087007733,6442451004,13421772816,27917287460,57982058547,120259084318 %N A320998 Number of pseudo-square convex polyominoes with semiperimeter n. %C A320998 The offset is not specified but appears to be 6. %H A320998 Andrew Howroyd, <a href="/A320998/b320998.txt">Table of n, a(n) for n = 6..1000</a> %H A320998 Srecko Brlek, Andrea Frosini, Simone Rinaldi, and Laurent Vuillon, <a href="https://doi.org/10.37236/1041">Tilings by translation: enumeration by a rational language approach</a>, The Electronic Journal of Combinatorics, vol. 13, (2006). See Section 4.2. %F A320998 a(n) = 2*A045618(6+n) - A320999(n). - _Andrew Howroyd_, Oct 31 2018 %p A320998 seq(coeff(series(2*x^6/((1-x)^2*(1-2*x)^2)-add(k*x^(3*(k+1))/(1-x^(k+1))^2,k=1..ceil(n/3)),x,n+1), x, n), n = 6 .. 35); # _Muniru A Asiru_, Oct 31 2018 %t A320998 seq[n_] := 2*x^6/((1 - x)^2*(1 - 2*x)^2) - Sum[k*x^(3*(k + 1))/(1 - x^(k + 1))^2 + O[x]^(6 + n), {k, 1, Ceiling[n/3]}] // CoefficientList[#, x]& // Drop[#, 6]&; %t A320998 seq[30] (* _Jean-François Alcover_, Sep 07 2019, from PARI *) %o A320998 (PARI) seq(n)={Vec(2*x^6/((1-x)^2*(1-2*x)^2) - sum(k=1, ceil(n/3), k*x^(3*(k+1))/(1-x^(k+1))^2 + O(x^(6+n))))} \\ _Andrew Howroyd_, Oct 31 2018 %Y A320998 Cf. A045618, A320999. %K A320998 nonn %O A320998 6,2 %A A320998 _N. J. A. Sloane_, Oct 30 2018 %E A320998 Terms a(16) and beyond from _Andrew Howroyd_, Oct 31 2018